Compare 9/56 and 30/70
9/56 is smaller than 30/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
9/56 = 9 × 5/56 × 5 = 45/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
30/70 = 30 × 4/70 × 4 = 120/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/280 < 120/280 or 9/56 < 30/70
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